Theory of Viscoplastic Shells for Dynamic Response

[+] Author and Article Information
R. S. Atkatsh, I. S. Sandler

Weidlinger Associates, New York, N.Y. 10001

M. P. Bieniek

Department of Civil Engineering, Columbia University, New York, N.Y. 10027

J. Appl. Mech 50(1), 131-136 (Mar 01, 1983) (6 pages) doi:10.1115/1.3166979 History: Received February 01, 1982; Revised August 01, 1982; Online July 21, 2009


A viscoplastic shell model is formulated that utilizes the shell membrane strains and curvatures as the kinematic variables and the shell stress resultants (membrane forces and moments) as the dynamic variables. The viscoplastic shell model combines the concepts of Perzyna’s viscoplastic constitutive equations with Bieniek’s shell stress resultant formulation. The model is incorporated into the Elastoplastic Shell Analysis code (EPSA) for the analysis of shells in an acoustic medium subjected to dynamic loadings that produce moderately large elastoviscoplastic deformations in the shell. An example is presented to demonstrate the effect of material rate dependence on structural response.

Copyright © 1983 by ASME
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